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Published byDiego Thornton Modified over 3 years ago

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2-5 Absolute Value Functions and Graphs

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Vertex Maximum or minimum of the graph For the equation, the vertex is at

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Identify the vertex for each function 1. f(x) = | 2x – 5 | 2. f(x) = | 3x + 6 | 3. f(x) = - |x + 1 | - 2

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Graphing absolute value functions by making a table Find the vertex Make a table of values (at least 5!) Graph the function.

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Example 6-3a Graphandon the same coordinate plane. Determine the similarities and differences in the two graphs. Find several ordered pairs for each function. x| x – 3 | x| x + 2 | –42 –31 –20 –

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Example 6-3b Graph the points and connect them. Answer: The domain of both graphs is all real numbers. The range of both graphs is The graphs have the same shape, but different x -intercepts. The graph of g (x) is the graph of f (x) translated left 5 units.

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Graph y = | x – 3 | + 3 XY

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Graph y = | 2x + 1 | XY

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The recommended dietary allowance for vitamin C is 2 micrograms per day. Write an absolute value function for the difference Between the number of micrograms of Vit C you ate today x and the recommended amount. XY

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Graph XY

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y = | -x – 5 | XY

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Graph y = | -3x | XY

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